Monge's transport problem in the Heisenberg group
classification
🧮 math.AP
math.MG
keywords
groupheisenbergmeasuremongeproblemtransportabsolutelyassuming
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We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous with respect to the Haar measure of the group.
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